Numerical analysis of ellipticity condition for large strain plasticity
Authors:
- Balbina Wcisło,
- Jerzy Pamin,
- Katarzyna Kowalczyk-Gajewska,
- Andreas Menzel
Abstract
This paper deals with the numerical investigation of ellipticity of the boundary value problem for isothermal finite strain elasto-plasticity. Ellipticity can be lost when softening occurs. A discontinuity surface then appears in the considered material body and this is associated with the ill-posedness of the boundary value problem. In the paper the condition for ellipticity loss is derived using the deformation gradient and the first Piola-Kirchhoff stress tensor. Next, the obtained condition is implemented and numerically tested within symbolic-numerical tools AceGen and AceFEM using the benchmark of an elongated rectangular plate with imperfection in plane stress and plane strain conditions
- Record ID
- CUT9d5c3cdb7a27433ebf65d610342cde71
- Publication categories
- ; ;
- Author
- Pages
- 140008-1–14008-8
- Other elements of collation
- rys.; wykr.; Bibliografia (na s.) - 14008-8; Bibliografia (liczba pozycji) - 22; Oznaczenie streszczenia - Abstr.
- Book
- Podgórski Jerzy, Jerzy Podgórski Błazik-Borowa Ewa, Ewa Błazik-Borowa Bęc Jarosław Jarosław Bęc [et al.] (eds.): Computer Methods in Mechanics (CMM2017): proceedings of the 22nd International Conference on Computer Methods in Mechanics, AIP Conference Proceedings, no. 1922, 2018, Melville, American Institute of Physics, AIP Publishing, ISBN 978-0-7354-1614-7
- Keywords in English
- plasticity, material properties
- DOI
- DOI:10.1063/1.5019150 Opening in a new tab
- URL
- http://aip.scitation.org/doi/10.1063/1.5019150 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT9d5c3cdb7a27433ebf65d610342cde71/
- URN
urn:pkr-prod:CUT9d5c3cdb7a27433ebf65d610342cde71
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.